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Finding the Fourth Proportional to 208,857.60, 313,286.40 and 137,998.80

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Solution

The fourth proportional to 208,857.60, 313,286.40 and 137,998.80 is: 206,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.60 : 313,286.40 = 137,998.80 : x
  2. Step 2: Convert to fraction form
    208,857.60/313,286.40 = 137,998.80/x
  3. Step 3: Cross multiply
    208,857.60x = 313,286.40 × 137,998.80
  4. Step 4: Simplify right side
    208,857.60x = 43,233,147,256.32
  5. Step 5: Solve for x
    x = 43,233,147,256.32/208,857.60
  6. Step 6: Final answer
    x = 206,998.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.